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Finding the Third Proportional to 51,811,186.50 and 111,693,223.50

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Solution

The third proportional to 51,811,186.50 and 111,693,223.50 is: 240,785,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811,186.50 : 111,693,223.50 = 111,693,223.50 : x
  2. Step 2: Convert to fraction form
    51,811,186.50/111,693,223.50 = 111,693,223.50/x
  3. Step 3: Cross multiply
    51,811,186.50x = 111,693,223.50 × 111,693,223.50
  4. Step 4: Simplify right side
    51,811,186.50x = 12,475,376,175,820,952
  5. Step 5: Solve for x
    x = 12,475,376,175,820,952/51,811,186.50
  6. Step 6: Final answer
    x = 240,785,378.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.